A remark on capillary surfaces in a 3-dimensional space of constant curvature

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

We generalize a theorem by J. Choe on capillary surfaces for arbitrary
3-dimensional spaces of constant curvature. The main tools in this paper are an
extension of a theorem of H. Hopf due to S.-S. Chern and two index lemmas by J.
Choe.

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